Pith Number

pith:EOVJOE2W

pith:2026:EOVJOE2WSJLNEJKNZGZOUBUTWK

not attested not anchored not stored refs pending

Nowhere-zero 4-flows in graphs excluding the Petersen graph with one edge contracted

J\'ozsef Pint\'er

arxiv:2607.22267 v1 · 2026-07-24 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EOVJOE2WSJLNEJKNZGZOUBUTWK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-27T01:20:56.880946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23aa9713569256d2254dc9b2ea0693b297af02a61caff0a69cbaf81f8db69b87

Aliases

arxiv: 2607.22267 · arxiv_version: 2607.22267v1 · doi: 10.48550/arxiv.2607.22267 · pith_short_12: EOVJOE2WSJLN · pith_short_16: EOVJOE2WSJLNEJKN · pith_short_8: EOVJOE2W

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EOVJOE2WSJLNEJKNZGZOUBUTWK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 23aa9713569256d2254dc9b2ea0693b297af02a61caff0a69cbaf81f8db69b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afed221610618d39cc4a238c2dd8d63666e5b5e3c9c15931a73eab3161fac580",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-24T13:03:55Z",
    "title_canon_sha256": "c813d632ef6038e43d976b55a3131426dc2419a1062f32810d49c3c2d12aca57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22267",
    "kind": "arxiv",
    "version": 1
  }
}